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arXiv:1901.07587 · American Journal of Physics

Entangle me! A game to demonstrate the principles of quantum mechanics

Andrea López-Incera, Wolfgang Dür

Published Jan 17, 2019• 30 citations
arXivHTMLPDF

Abstract

We introduce a game to illustrate the principles of quantum mechanics using a qubit (or spin-first) approach, where students can experience and discover its puzzling features first-hand. Students play the role of particles and scientists. Scientists unravel underlying rules and properties by collecting and analysing data that are generated by observing particles that act according to the given rules. We show how this allows one to illustrate quantum states and their stochastic behavior under measurements as well as quantum entanglement. In addition, we use this approach to illustrate and discuss decoherence and a modern application of quantum features, namely, quantum cryptography. We have tested the game in the class and report on the results that we obtained.

DOI
10.1119/1.5086275

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We introduce a game to illustrate the principles of quantum mechanics using a qubit (or spin-first) approach, where students can experience and discover its puzzling features first-hand. Students play the role of particles and scientists. Scientists unravel underlying rules and properties by collecting and analysing data that are generated by observing particles that act according to the given rules. We show how this allows one to illustrate quantum states and their stochastic behavior under measurements as well as quantum entanglement. In addition, we use this approach to illustrate and discuss decoherence and a modern application of quantum features, namely, quantum cryptography. We have tested the game in the class and report on the results that we obtained.
Abstract Recent progress in the development of quantum technologies, most notably in the context of quantum computing and cryptography, poses the question of whether and how to teach the modern and sophisticated underlying theory of quantum physics, and its applications, at school. To this end, we present a game-based approach to teach Bell inequalities and quantum cryptography at undergraduate level. The approach is based on kinesthetic activities and allows students to experience and discover quantum features and their applications first-hand. The students obtain the same results as if they were in a real laboratory performing sophisticated experiments such as Bell tests, without requiring expensive tools and facilities. Specifically, quantum states are represented by the orientation of students, who also play the role of quantum particles, and mimic quantitative random behaviour and measurements using dice and apps.
Quantum entanglement is a captivating phenomenon in quantum physics, characterized by intricate and non-classical correlations between particles. This phenomenon plays a crucial role in quantum computing and measurement processes. In this hands-on course students explore the dynamics of quantum systems with up to three spins, introducing the fundamental mechanisms by which entanglement evolves and transfers within such systems. Through detailed examples, simulations, and analyses, the hands-on course offers insights into the fundamental principles of entanglement. The provided \code{python} modules reproduce the presented results and serve as a basis for further projects. The target audience of this hands-on course is physics enthusiasts among students in their first semesters.
Quantum entanglement is a central concept of quantum theory for multiple particles.Entanglement played an important role in the development of the foundations of the theory and makes possible modern applications in quantum information technology.As part of the QuVis Quantum Mechanics Visualization Project, we developed an interactive simulation Entanglement: The nature of quantum correlations using two-particle entangled spin states.We investigated student understanding of entanglement at the introductory and advanced undergraduate levels by collecting student activity and posttest responses using two versions of the simulation and carrying out a small number of student interviews.Common incorrect ideas found include statements that all entangled states must be maximally entangled (i.e.show perfect correlations or anticorrelations along all common measurement axes), that the spins of particles in a product state must have definite values (cannot be in a superposition state with respect to spin) and difficulty factorizing product states.Outcomes from this work will inform further development of the QuVis Entanglement simulation.
We present an approach for teaching quantum physics at high school level based on the simplest quantum system - the single quantum bit (qubit). We show that many central concepts of quantum mechanics, including the superposition principle, the stochastic behavior and state change under measurements as well as the Heisenberg uncertainty principle can be understood using simple mathematics, and can be illustrated using catchy visualizations. We discuss abstract features of a qubit in general, and consider possible physical realizations as well as various applications, e.g. in quantum cryptography.
Quantum entanglement is amongst the strangest ideas of quantum mechanics and is being considered as an asset for revolutionary advances in quantum computing technologies. It arises due to the interaction between two quantum particles, which makes their quantum states independently ambiguous. The observation of one particle instantly affects the state of the other across significant spatial divides. Entangled particles exist in predetermined states even before observation but remain ambiguous until a practical measurement. This chapter surveys the underlying principles of quantum entanglement and its conceptual applications in quantum information processing. It further investigates the historical evolution and fundamentals of quantum theory to explain the role of quantum entanglement in the field of quantum computing. The discussion does not conclude at this point but briefly touches upon cutting-edge technologies like quantum teleportation, explaining the transmission of quantum states across large distances devoid of the physical transmission of matter. Though initially seen as science fiction, research has now begun on its practical applications towards enabling secure quantum communication.